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Tomas Dohnal
Tomas Dohnal
MLU Halle
Verified email at mathematik.uni-halle.de - Homepage
Title
Cited by
Cited by
Year
Bloch-wave homogenization on large time scales and dispersive effective wave equations
T Dohnal, A Lamacz, B Schweizer
Multiscale Modeling & Simulation 12 (2), 488-513, 2014
582014
pde2path 2.0: multi-parameter continuation and periodic domains
T Dohnal, JDM Rademacher, H Uecker, D Wetzel
Proceedings of the 8th European Nonlinear Dynamics Conference, ENOC 2014, 2014
472014
Ground states of a nonlinear curl-curl problem in cylindrically symmetric media
T Bartsch, T Dohnal, M Plum, W Reichel
Nonlinear Differential Equations and Applications NoDEA 23, 1-34, 2016
422016
Coupled mode equations and gap solitons for the 2D Gross–Pitaevskii equation with a non-separable periodic potential
T Dohnal, H Uecker
Physica D: Nonlinear Phenomena 238 (9-10), 860-879, 2009
412009
Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential
T Dohnal, D Pelinovsky, G Schneider
Journal of nonlinear science 19, 95-131, 2009
342009
Optical soliton bullets in (2+ 1) D nonlinear Bragg resonant periodic geometries
T Dohnal, AB Aceves
Studies in Applied Mathematics: Special issue: Nonlinear optics 115 (2), 209-232, 2005
322005
Dispersive homogenized models and coefficient formulas for waves in general periodic media
T Dohnal, A Lamacz, B Schweizer
Asymptotic Analysis 93 (1-2), 21-49, 2015
242015
Perfectly matched layers for coupled nonlinear Schrödinger equations with mixed derivatives
T Dohnal
Journal of Computational Physics 228 (23), 8752-8765, 2009
222009
Surface gap soliton ground states for the nonlinear Schrödinger equation
T Dohnal, M Plum, W Reichel
Communications in mathematical physics 308 (2), 511-542, 2011
212011
Bifurcation of nonlinear Bloch waves from the spectrum in the Gross–Pitaevskii equation
T Dohnal, H Uecker
Journal of Nonlinear Science 26, 581-618, 2016
202016
Diverging probability-density functions for flat-top solitary waves
A Peleg, Y Chung, T Dohnal, QM Nguyen
Physical Review E 80 (2), 026602, 2009
182009
Localized modes of the linear periodic Schrödinger operator with a nonlocal perturbation
T Dohnal, M Plum, W Reichel
SIAM journal on mathematical analysis 41 (5), 1967-1993, 2009
182009
Families of surface gap solitons and their stability via the numerical Evans function method
E Blank, T Dohnal
SIAM Journal on Applied Dynamical Systems 10 (2), 667-706, 2011
172011
Surface gap solitons at a nonlinearity interface
T Dohnal, D Pelinovsky
SIAM Journal on Applied Dynamical Systems 7 (2), 249-264, 2008
172008
A Bloch wave numerical scheme for scattering problems in periodic wave-guides
T Dohnal, B Schweizer
SIAM Journal on Numerical Analysis 56 (3), 1848-1870, 2018
162018
Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations
T Dohnal, T Hagstrom
Journal of Computational Physics 223 (2), 690-710, 2007
132007
Bifurcation of eigenvalues in nonlinear problems with antilinear symmetry
T Dohnal, P Siegl
Journal of Mathematical Physics 57 (9), 2016
92016
Coupled mode equation modeling for out-of-plane gap solitons in 2D photonic crystals
T Dohnal, W Dörfler
Multiscale Modeling & Simulation 11 (1), 162-191, 2013
82013
pde2path-Quickstart guide and reference card, 2018
H de Witt, T Dohnal, J Rademacher, H Uecker, D Wetzel
Available at [Uec17c], 0
8
Spectrum of the maxwell equations for a flat interface between homogeneous dispersive media
M Brown, T Dohnal, M Plum, I Wood
arXiv preprint arXiv:2206.02037, 2022
72022
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